4(x+2)-3=-2(x-2)

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Solution for 4(x+2)-3=-2(x-2) equation:


Simplifying
4(x + 2) + -3 = -2(x + -2)

Reorder the terms:
4(2 + x) + -3 = -2(x + -2)
(2 * 4 + x * 4) + -3 = -2(x + -2)
(8 + 4x) + -3 = -2(x + -2)

Reorder the terms:
8 + -3 + 4x = -2(x + -2)

Combine like terms: 8 + -3 = 5
5 + 4x = -2(x + -2)

Reorder the terms:
5 + 4x = -2(-2 + x)
5 + 4x = (-2 * -2 + x * -2)
5 + 4x = (4 + -2x)

Solving
5 + 4x = 4 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
5 + 4x + 2x = 4 + -2x + 2x

Combine like terms: 4x + 2x = 6x
5 + 6x = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
5 + 6x = 4 + 0
5 + 6x = 4

Add '-5' to each side of the equation.
5 + -5 + 6x = 4 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = 4 + -5
6x = 4 + -5

Combine like terms: 4 + -5 = -1
6x = -1

Divide each side by '6'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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